This volume contains papers that originally appeared in Japanese in the journal Sūgaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers here are in the general area of mathematical analysis as it pertains to free probability theory.

Readership

Graduate students and research mathematicians interested in functional analysis.

Table of Contents

• F. Hiai -- Free products of operator algebras and free probability theory
• K. Matsuzaki -- Dynamics of Kleinian groups-The Hausdorff dimension of limit sets
• S. Nii -- Topological methods in stability analysis of travelling waves
• J.-i. Tanaka -- Extension of almost periodic functions and analyticity on flows
• H. Umemura -- Painlevé equations in the past 100 years
• M. Yamazaki -- The Navier-Stokes equation in various function spaces